On Large N Solution of Gaiotto-Tomasiello Theory
arXiv:1008.3950 · doi:10.1007/JHEP10(2010)101
Abstract
The planar solution is discussed for an N=3 Chern-Simons-matter theory constructed recently by Gaiotto and Tomasiello. The planar resolvent is obtained in terms of contour integrals. If the sum of two Chern-Simons levels k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows exponentially with the total 't Hooft coupling, as is expected from AdS/CFT correspondence. If one of the Chern-Simons levels, say k_2, is taken to infinity, for which one of the 't Hooft coupling constants becomes zero, then the exponential behavior disappears.
25 pages, (v2) references added, (v3) references added, typos corrected, published version
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